Definite Integrals Evaluated
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Consider the definite integral I
4
I = ∫ e^x dx
0
1. evaluate the integral I directly by use of a suitable anti-derivative.
2. evaluate the integral I by use of a suitable Riemann sum and formally limiting that sum
3. evaluate the integral I by use of the trapezoidal rule:
a) I T,2 - for 2 sub-intervals
b) I T,4 - for 4 sub-intervals
c) I T,8 - for 8 sub-intervals
4. evaluate the intergral I by use of simpson's rule:
a) I S,2 - for 2 sub-intervals
b) I S,4 - for 4 sub-intervals
c) I S,8 - for 8 sub-intervals
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Solution Summary
The expert evaluates the integral by use of simpson's rules are determined.
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